Absolute continuity for Banach space valued mappings |
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| Authors: | Cristina Di Bari and Calogero Vetro |
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| Affiliation: | (1) Dipartimento di Matematica ed Applicazioni, Universitá degli Studi di Palermo, Via Archirafi, 34, 90123 Palermo, (Italy) |
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| Abstract: | We consider the notion ofp, λ, δ-absolute continuity for Banach space valued mappings introduced in [2] for real valued functions and for λ=1. We investigate the validity of some basic properties that are shared byn, λ-absolutely continuous functions in the sense of Maly and hencl. We introduce the class δ-BV λ,locp and we give a characterization of the functions belonging to this class. |
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